Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
6th August 2022
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 6.
- 2SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 10 cm and an angle of 28°. Work out the side adjacent to that angle, to 1 decimal place.
- 3Probability Trees3 marks
2 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Box Plots2 marks
A box plot has minimum 1, lower quartile 5, median 10, upper quartile 19 and maximum 29. Work out the interquartile range.
- 5Fractional and Negative Indices3 marks
Work out 64^(2/3).
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